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Finding the Fourth Proportional to 74.15, 102.33 and 52.01

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Solution

The fourth proportional to 74.15, 102.33 and 52.01 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.15 : 102.33 = 52.01 : x
  2. Step 2: Convert to fraction form
    74.15/102.33 = 52.01/x
  3. Step 3: Cross multiply
    74.15x = 102.33 × 52.01
  4. Step 4: Simplify right side
    74.15x = 5,322.18
  5. Step 5: Solve for x
    x = 5,322.18/74.15
  6. Step 6: Final answer
    x = 71.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.